Greatest Common Factor of 5844 and 5850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5844, 5850 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5844 and 5850 is 6.

GCF(5844,5850) = 6

GCF of 5844 and 5850

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5844 and 5850

GCF of 5844 and 5850 is 6

Prime Factorization of 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2,3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

Prime Factorization of 5850


2 5850
3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 5850 are 2,3,5,13. Prime factorization of 5850 in exponential form is:

5850 = 21×32×52×131

∴ So by taking common prime factors GCF of 5844 and 5850 is 6

Greatest Common Factor of 5844 and 5850 by matching factors method

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1,2,3,4,6,12,487,974,1461,1948,2922,5844

Factors of 5850

List of positive integer factors of 5850 that divides 5850 without a remainder.

1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850

Greatest Common Factor

We found the factors and prime factorization of 5844 and 5850. The biggest common factor number is the GCF number.
So the greatest common factor 5844 and 5850 is 6.

Also check out the Least Common Multiple of 5844 and 5850

Properties of GCF 5844 and 5850

(i) The GCF of 5844 and 5850 is associative

GCF of 5844 and 5850 = GCF of 5850 and 5844

Related Greatest Common Factor of 5844

Related Greatest Common Factor of 5850

Frequently Asked Questions on GCF of 5844 and 5850

1. What is the GCF of 5844 and 5850?

Answer: GCF of 5844 and 5850 is 6.

2. What are the Factors of 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

3. What are the Factors of 5850?

Answer: Factors of 5850 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 130, 150, 195, 225, 234, 325, 390, 450, 585, 650, 975, 1170, 1950, 2925, 5850. There are 36 integers that are factors of 5850. The greatest factor of 5850 is 5850.

4. How to Find the GCF of 5844 and 5850?

Answer:

Greatest Common Factor of 5844 and 5850 = 6

Step 1: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

Step 2: Find the prime factorization of 5850

5850 = 2 x 3 x 3 x 5 x 5 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5844 and 5850 is 6